Au tube manometer has water poured into the left side and oil (density is 790 kg/m^3) poured into to the right side. the water in left side is measured to be 70 cm high, while the right side contains both oil and water with oil height 4 times as high as water height. determine the height of oil and height of water in right side of u tube.

1) Height of oil in right limb = 67.31 cm

2) Height of water in the right limb = 16.83 cm

Explanation:

The U-tube manometer is shown in the attached figure

Foe equilibrium The pressure at the bottom of the U tube should be same

Let the height of the water in the left limb of the manometer be

Thus the pressure at the bottom is found using the equation of pressure statics as

Similarly for the liquid in the right limb the pressure at the bottom is the sum of the oil column and the water column

Thus we can write

Equating the equations 'i' and 'ii' we get

Thus the height of oil is andthe height of water in the right limb is 16.83 cm.

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